Prime p₀= 727226207017601111 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 38
Found by: Theadalus
db: batch=73, k=10, 2 4 2 10 2

SPT(16)	727225366898503643	0 48 74 98 144 174 210 234 284 308 344 374 420 444 470 518	-840119097468
SPT(13)	727225511687611831	0 12 42 60 72 90 156 222 240 252 270 300 312	-695329989280
STPT(10)	727225722821798399	0 2 12 14 90 92 168 170 180 182	-484195802712
SPT(16)	727225817431727377	0 52 54 84 96 102 126 154 162 190 214 220 232 262 264 316	-389585873734
STPT(10)	727225897240663649	0 2 48 50 90 92 132 134 180 182	-309776937462
STPT(10)	727226147261104031	0 2 30 32 78 80 126 128 156 158	-59756497080
STPT(12)	727227019340719361	0 2 36 38 48 50 78 80 90 92 126 128	812323118250
SPT(16)	727227417529501753	0 30 46 64 88 90 118 126 148 156 184 186 210 228 244 274	1210511900642
SPT(16)	727227567219360133	0 6 28 34 64 84 90 120 124 154 160 180 210 216 238 244	1360201759022
STPT(10)	727227639014015987	0 2 12 14 42 44 72 74 84 86	1431996414876
STPT(12)	727228185612438527	0 2 12 14 84 86 90 92 162 164 174 176	1978594837416